13107142607840 has 48 divisors (see below), whose sum is σ = 30965847060960. Its totient is φ = 5242819345920.

The previous prime is 13107142607827. The next prime is 13107142607843. The reversal of 13107142607840 is 4870624170131.

It is a junction number, because it is equal to n+sod(n) for n = 13107142607791 and 13107142607800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13107142607843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35835485 + ... + 36199395.

It is an arithmetic number, because the mean of its divisors is an integer number (645121813770).

Almost surely, 2^{13107142607840} is an apocalyptic number.

13107142607840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13107142607840 is an abundant number, since it is smaller than the sum of its proper divisors (17858704453120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13107142607840 is a wasteful number, since it uses less digits than its factorization.

13107142607840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589035 (or 589027 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

Adding to 13107142607840 its reverse (4870624170131), we get a palindrome (17977766777971).

The spelling of 13107142607840 in words is "thirteen trillion, one hundred seven billion, one hundred forty-two million, six hundred seven thousand, eight hundred forty".